Finding the Third Proportional to 49,031.50 and 105,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,031.50 : 105,837.50 = 105,837.50 : x
2. Step 2: Convert to fraction form
   49,031.50/105,837.50 = 105,837.50/x
3. Step 3: Cross multiply
   49,031.50x = 105,837.50 × 105,837.50
4. Step 4: Simplify right side
   49,031.50x = 11,201,576,406.25
5. Step 5: Solve for x
   x = 11,201,576,406.25/49,031.50
6. Step 6: Final answer
   x = 228,456.74